Date:Wednesday, July 22nd, 2020
Commit:b1a42fe6 on reprify
Hostname:warfa with Racket 7.5
Seed:2020204
Parameters:256 points for 4 iterations
Flags:
setup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback
default

Details

sample1.6min (39.6%)

Algorithm
77×intervals
Results
43.6s43257×body1280valid
14.4s30445×body640valid
7.9s173716×body80valid
6.0s27264×body320valid
4.3s35913×body160valid
2.8s377×body5120exit
2.5s99379×pre80true
998.0ms3045×body2560valid
616.0ms3145×body2560nan
608.0ms228×body1280overflowed
501.0ms9471×body80nan
400.0ms2573×body1280nan
392.0ms2537×body80overflowed
352.0ms5376×body80invalid
270.0ms194×body640overflowed
233.0ms327×body1280invalid
192.0ms426×body640invalid
159.0ms1291×body640nan
93.0ms261×body5120valid
86.0ms108×body320overflowed
74.0ms231×body320invalid
62.0ms638×body320nan
29.0ms115×body160invalid
22.0ms52×body160overflowed
22.0ms333×body160nan
2.0ms111×pre80false

prune1.2min (30.2%)

Filtered
16892 candidates to 11053 candidates (34.6%)

analyze29.9s (12.5%)

Algorithm
39×search
Search
TrueOtherFalseIter
0%71.2%28.8%0
2.6%68.7%28.8%1
6.7%64.5%28.8%2
15.3%53.4%31.4%3
21.5%44.1%34.4%4
26.5%37.3%36.2%5
28.4%33.3%38.3%6
30.1%30.3%39.5%7
31%28.8%40.3%8
33%25.9%41.1%9
33.4%24.9%41.6%10
34.2%23.8%42%11
35%22.5%42.5%12
36%21.3%42.7%13
36.3%20.8%43%14

simplify14.4s (6.0%)

Algorithm
212×egg-herbie

regimes12.5s (5.2%)

Accuracy

Total 51.9b remaining (28.8%)

Threshold costs 4.6b (2.6%)

7.6b45.8%Quadratic roots, narrow range
7.4b46.5%Cubic critical, narrow range
6.0b10.8%Cubic critical, medium range
6.0b10.7%Quadratic roots, medium range
5.8b49.8%Quotient of products

series7.4s (3.1%)

Calls

420 calls:

250.0ms
(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2.0))) (*.f64 (/.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2.0)) (*.f64 (cbrt.f64 (+.f64 lambda1 lambda2)) (cbrt.f64 (+.f64 lambda1 lambda2)))) (/.f64 (-.f64 (*.f64 lambda1 lambda1) (*.f64 lambda2 lambda2)) (cbrt.f64 (+.f64 lambda1 lambda2))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
249.0ms
(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2.0))) (/.f64 (/.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2.0)) (-.f64 (*.f64 lambda1 lambda1) (*.f64 lambda2 lambda2))) (*.f64 (cbrt.f64 (+.f64 lambda1 lambda2)) (cbrt.f64 (+.f64 lambda1 lambda2)))) (cbrt.f64 (+.f64 lambda1 lambda2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
228.0ms
(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2.0))) (/.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2.0)) (-.f64 (*.f64 lambda1 lambda1) (*.f64 lambda2 lambda2))) (+.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
168.0ms
(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2.0))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2.0)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
117.0ms
(/.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2.0)) (-.f64 (*.f64 lambda1 lambda1) (*.f64 lambda2 lambda2))) (*.f64 (cbrt.f64 (+.f64 lambda1 lambda2)) (cbrt.f64 (+.f64 lambda1 lambda2))))

rewrite5.3s (2.2%)

Algorithm
136×rewrite-expression-head
Calls

420 calls:

220.0ms
(/.f64 1 (/.f64 (/.f64 a (neg.f64 (*.f64 4.0 a))) (/.f64 (/.f64 c (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))))) 2.0)))
107.0ms
(log.f64 (exp.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1.0)) 3) (pow.f64 (/.f64 (+.f64 x 1.0) (-.f64 x 1.0)) 3))))
102.0ms
(-.f64 (pow.f64 (/.f64 x (+.f64 x 1.0)) 3) (pow.f64 (/.f64 (+.f64 x 1.0) (-.f64 x 1.0)) 3))
101.0ms
(-.f64 (pow.f64 (/.f64 x (+.f64 x 1.0)) 3) (pow.f64 (/.f64 (+.f64 x 1.0) (-.f64 x 1.0)) 3))
100.0ms
(-.f64 (pow.f64 (/.f64 x (+.f64 x 1.0)) 3) (pow.f64 (/.f64 (+.f64 x 1.0) (-.f64 x 1.0)) 3))
Rules
24639×times-frac_binary64
13184×*-un-lft-identity_binary64
10981×add-sqr-sqrt_binary64
9720×add-cube-cbrt_binary64
1747×associate-/r*_binary64
1481×add-exp-log_binary64
1255×add-cbrt-cube_binary64
1238×distribute-lft-out_binary64
798×div-inv_binary64
789×distribute-lft-neg-in_binary64 distribute-rgt-neg-in_binary64
783×pow1_binary64
769×neg-mul-1_binary64
759×associate-/r/_binary64
644×associate-*r*_binary64
600×add-log-exp_binary64
501×flip--_binary64
500×flip3--_binary64
479×unpow-prod-down_binary64
470×distribute-lft-out--_binary64
460×associate-*l/_binary64
453×flip-+_binary64
452×flip3-+_binary64
449×difference-of-squares_binary64
415×cbrt-prod_binary64
387×frac-times_binary64
382×cube-prod_binary64
373×div-exp_binary64
368×sqrt-prod_binary64
363×associate-*l*_binary64
356×associate-/l*_binary64
328×sqrt-div_binary64
291×prod-exp_binary64
284×cbrt-undiv_binary64
268×associate-*r/_binary64
252×cbrt-unprod_binary64
240×frac-add_binary64
193×cbrt-div_binary64
143×unswap-sqr_binary64
140×log-prod_binary64
134×log-pow_binary64
124×pow-prod-down_binary64
108×exp-prod_binary64
102×sqr-pow_binary64
99×clear-num_binary64 frac-2neg_binary64
93×sub-neg_binary64
84×*-commutative_binary64
82×swap-sqr_binary64
70×pow1/3_binary64
67×associate-/l/_binary64
66×diff-log_binary64
47×div-sub_binary64
46×pow1/2_binary64 sqrt-pow1_binary64
45×pow-unpow_binary64 log-div_binary64
34×sum-log_binary64
32×pow-exp_binary64
26×rem-sqrt-square_binary64
25×distribute-rgt-in_binary64 +-commutative_binary64 distribute-lft-in_binary64
23×pow-to-exp_binary64 rec-exp_binary64 1-exp_binary64 rem-log-exp_binary64 cube-div_binary64 pow-prod-up_binary64
20×unpow3_binary64 cube-mult_binary64
19×pow-sqr_binary64 pow-pow_binary64
18×sin-diff_binary64 frac-sub_binary64
17×unpow2_binary64
16×cos-diff_binary64
15×acos-asin_binary64
14×distribute-frac-neg_binary64
13×rem-cube-cbrt_binary64 associate--l+_binary64
12×associate--r+_binary64 sinh-def_binary64 sin-mult_binary64 pow2_binary64 tan-quot_binary64
11×neg-sub0_binary64 tanh-def-a_binary64 cosh-undef_binary64 pow-plus_binary64 tanh-def-b_binary64 sin-sum_binary64 tanh-def-c_binary64
10×associate-+r+_binary64
distribute-neg-frac_binary64 cos-sum_binary64
sin-cos-mult_binary64 sinh-undef_binary64 associate--r-_binary64
exp-sum_binary64 distribute-rgt-out_binary64
associate-+r-_binary64 exp-diff_binary64
difference-cubes_binary64 associate--l-_binary64 pow-flip_binary64 rem-exp-log_binary64 inv-pow_binary64
sqrt-unprod_binary64 rem-cbrt-cube_binary64 acos-neg_binary64 distribute-rgt-out--_binary64
cos-mult_binary64 asin-acos_binary64 rem-square-sqrt_binary64 un-div-inv_binary64
tanh-undef_binary64 sum-cubes_binary64 exp-to-pow_binary64 distribute-lft1-in_binary64 sub-div_binary64

localize2.4s (1.0%)

bsearch352.0ms (0.1%)

end1.0ms (0.0%)

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